-4k+(5k-6)=-3-39

Solution for -4k+(5k-6)=-3-39 equation:

Simplifying
-4k + (5k + -6) = -3 + -39

Reorder the terms:
-4k + (-6 + 5k) = -3 + -39

Remove parenthesis around (-6 + 5k)
-4k + -6 + 5k = -3 + -39

Reorder the terms:
-6 + -4k + 5k = -3 + -39

Combine like terms: -4k + 5k = 1k
-6 + 1k = -3 + -39

Combine like terms: -3 + -39 = -42
-6 + 1k = -42

Solving
-6 + 1k = -42

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + 1k = -42 + 6

Combine like terms: -6 + 6 = 0
0 + 1k = -42 + 6
1k = -42 + 6

Combine like terms: -42 + 6 = -36
1k = -36

Divide each side by '1'.
k = -36

Simplifying
k = -36